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13167284 = 2213313809
BaseRepresentation
bin110010001110…
…101010110100
3220202222010012
4302032222310
511332323114
61150115352
7216630404
oct62165264
926688105
1013167284
117483859
1244abb58
1329603c0
141a6a804
15125163e
hexc8eab4

13167284 has 24 divisors (see below), whose sum is σ = 24925320. Its totient is φ = 6050304.

The previous prime is 13167251. The next prime is 13167317. The reversal of 13167284 is 48276131.

13167284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13167251) and next prime (13167317).

It can be written as a sum of positive squares in 4 ways, for example, as 48400 + 13118884 = 220^2 + 3622^2 .

It is a super-3 number, since 3×131672843 (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13167284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15872 + ... + 16680.

It is an arithmetic number, because the mean of its divisors is an integer number (1038555).

Almost surely, 213167284 is an apocalyptic number.

It is an amenable number.

13167284 is a deficient number, since it is larger than the sum of its proper divisors (11758036).

13167284 is a wasteful number, since it uses less digits than its factorization.

13167284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1137 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 13167284 is about 3628.6752403598. The cubic root of 13167284 is about 236.1377391862.

The spelling of 13167284 in words is "thirteen million, one hundred sixty-seven thousand, two hundred eighty-four".

Divisors: 1 2 4 13 26 52 313 626 809 1252 1618 3236 4069 8138 10517 16276 21034 42068 253217 506434 1012868 3291821 6583642 13167284